Jens Kleinjung1, Franca Fraternali. 1. Division of Mathematical Biology, MRC National Institute for Medical Research, The Ridgeway, Mill Hill, London NW7 1AA, United Kingdom.
Abstract
Solvation forces are crucial determinants in the equilibrium between the folded and unfolded state of proteins. Particularly interesting are the solvent forces of denaturing solvent mixtures on folded and misfolded states of proteins involved in neurodegeneration. The C-terminal globular domain of the ovine prion protein (1UW3) and its analogue H2H3 in the α-rich and β-rich conformation were used as model structures to study the solvation forces in 4 M aqueous urea using molecular dynamics. The model structures display very different secondary structures and solvent exposures. Most protein atoms favor interactions with urea over interactions with water. The force difference between protein-urea and protein-water interactions correlates with hydrophobicity; i.e., urea interacts preferentially with hydrophobic atoms, in agreement with results from solvent transfer experiments. Solvent Shannon entropy maps illustrate the mobility gradient of the urea-water mixture from the first solvation shell to the bulk. Single urea molecules replace water in the first solvation shell preferably at locations of relatively high solvent entropy.
Solvation forces are crucial determinants in the equilibrium between the folded and unfolded state of proteins. Particularly interesting are the solvent forces of denaturing solvent mixtures on folded and misfolded states of proteins involved in neurodegeneration. The C-terminal globular domain of the ovine prion protein (1UW3) and its analogue H2H3 in the α-rich and β-rich conformation were used as model structures to study the solvation forces in 4 M aqueous urea using molecular dynamics. The model structures display very different secondary structures and solvent exposures. Most protein atoms favor interactions with urea over interactions with water. The force difference between protein-urea and protein-water interactions correlates with hydrophobicity; i.e., urea interacts preferentially with hydrophobic atoms, in agreement with results from solvent transfer experiments. Solvent Shannon entropy maps illustrate the mobility gradient of the urea-water mixture from the first solvation shell to the bulk. Single urea molecules replace water in the first solvation shell preferably at locations of relatively high solvent entropy.
Protein solvation determines to a large
extent the physicochemical
behavior of proteins, and it is therefore an essential part of their
exerted function. In particular, complex formation, which is involved
in almost all protein functions, depends on the detailed balance between
solvent–solute and solute–solute forces. Too strong
solvent–solute forces would impair protein function, while
too strong solute–solute forces would lead to unspecific protein
aggregation. This balance has shaped protein surfaces and their folded
state over evolutionary times. Protein folds are generally stable
under physiological conditions, but changes in the environment can
induce unfolding and denaturation. Urea is among the most frequently
used denaturants in studies of protein folding and stability. The
effect of cosolvents on proteins has been studied experimentally and
theoretically (for reviews, see refs (1−3)), but to date the molecular mechanisms and particularly the driving
forces of urea-induced protein denaturation are not yet fully understood.Several theoretical studies using molecular dynamics (MD) on single
amino acids, peptides, and proteins have been performed to elucidate
the atomic details of the interactions between urea and amino acids,
peptides, or proteins.[4−17] Most simulation studies focused on the energetic components governing
the interaction between the proteic solute and the water–urea
solvent mixture. Different interaction mechanisms have been suggested,
debating whether urea-induced denaturation is driven by polar interactions
or by hydrophobic interactions and if these are induced by direct
or indirect interactions with the solute atoms,[18] but in the meantime there is sufficient experimental evidence
to exclude a urea-induced structural change of water.[19] A recent experimental study expands thermodynamic data
to the spectrum of atoms occurring in proteins[20] with the conclusion that urea interacts favorably, compared
to water, with most atom types. A general consensus attributes a dominant
role to van der Waals interactions between urea and protein atoms
over pure electrostatic contributions. This was proposed earlier on
the basis of thermodynamic studies.[21] The hydration shell model explained the solvation terms of small
aliphatic hydrocarbons in urea–water mixtures. An essential
term of this model is an enthalpic contribution arising from the van
der Waals forces between the solute and the cosolvent urea. However,
the model neglected the cavity formation, an integral element of solvent
transfer models. Urea does not reduce the free energy of cavity formation;
on the contrary, the strong interaction between urea and water increases
the surface tension. Therefore, the replacement of water from the
solvation shell around the hydrophobic solute seems not to contribute
to the transfer free energy.[22] Also, the
hydrogen bond reorganization in the first solvation shell has only
a compensatory energetic effect; i.e., enthalpic interaction of water
with the protein surface is replaced by a gain of entropy in the bulk
solvent.[19] An alternative thermodynamic
approach is the solvent exchange model that considers
the solute surface as a collection of small interaction sites.[2,18] This model is closer in spirit to molecular simulations, because
(i) system trajectories provide direct information
about the urea–protein interactions and (ii) the model allows for the existence of heterogeneous sites; i.e.,
the heterogeneity of the protein surface may be accounted for by the
formalism.A strong interest in protein unfolding and the principles
underlying
conformational transitions comes from observations that denatured
cellular proteins tend to aggregate, a phenomenon that is often associated
with a diseased cellular state.[23] A prominent
example of a potentially fatal condition caused by protein misfolding
and aggregation is the prion disease that is associated with the formation
of aggregates of the prion protein (PrP). While the native structure
of the globular C-terminus of the cellular prion protein (PrP) is mostly helical, its amyloid fibrillar
aggregates contain β-rich conformers (PrP). The details of the conformational transition as well as
the structure of the fibrillar aggregates are still elusive. In a
quest to determine a minimal set of structural elements that retain
the aggregation propensity of the prion protein, the 36-residue fragment
H2H3, comprising the helices H2 and H3, has been designed. As demonstrated
by our previous studies,[24] H2H3 shows fibrillation,
GPI anchoring, and insoluble PK-resistant aggregate formation analogous
to PrP.We evaluate here the forces acting at the initial stage
of urea-induced
denaturation on three PrP constructs, a stable structure and two H2H3
intermediates isolated from misfolding simulations of H2H3 in water.[25] These two intermediates of H2H3 represent an
α-rich state H2H3α as an analogue of PrP and a β-rich state H2H3β as an analogue of PrP. These two conformers
have been previously extensively characterized by MD simulations,
and their role in the assembly of misfolded states has been evaluated.[25] Besides being very different in their secondary
structure content, they differ remarkably in their solvent exposure,
with the H2H3β state exposing considerably more hydrophobic
surface. H2H3α and H2H3β are therefore
ideal systems to study the solvation effects.The solvent forces
on H2H3α and H2H3β in pure water
and in ∼4 M aqueous urea solution were analyzed.
The urea solution matches the condition under which fibril formation
is induced experimentally. We have previously introduced Shannon entropy
maps and analyzed the hydration properties of water at the surface
of PrP, identifying particular loci with different entropies.[26] By studying the effect of urea on folded and
intermediate structures, we (i) isolate the urea
effect on defined conformers from the unfolding process itself and
by restraining the protein structure (ii) observe
the competition of urea and water for protein interaction in the absence
of protein dynamics.It is clear that urea denaturation is induced
spontaneously, because
protein surface atoms interact stronger with urea than with water.
To our knowledge, no study has yet been directed to the role of solvent
forces in the initiation of urea-induced unfolding. Here, the preference
of the proteic solute to interact with either urea or water was computed
on the basis of atomic force distributions. Shannon entropies of the
solvent were computed to illustrate the replacement of water from
the solvation shell. We compare our results of atomic solvation forces
to thermodynamic data and observe good correlations, as well as general
trends in hydrophobicity scales extracted from molecular dynamics
simulations and based on energetical considerations.
Methods
Selected Model Systems
Three starting structures were
used in this study: α-rich H2H3 (H2H3α), β-rich
H2H3 (H2H3β), and the crystal structure of the C-terminal
globular domain of PrP (PDB: 1UW3).H2H3 is a truncated form of the prion protein
comprising mainly helices H2 and H3 (residues 183–218). It
is cyclysed by an intramolecular cystine bridge Cys183–Cys218.
H2H3 has been shown previously to undergo a conformational transition
from an α-rich (H2H3α) to a β-rich (H2H3β) conformation.[24] These two
conformations were used here to compare forces on the same sequence
in two different folds. The C-terminal globular domain of PrP is used
as a native reference protein for the analyses.
Simulations
MD simulations were performed using the
GROMOS biomolecular simulation software.[27,28] The employed
force field was GROMOS 53A6. The urea model of Smith et al.[29] was used in its implementation as molecular
building block 'UREA' in this force field.The integration time
step was set to 2 fs. The temperature was set to 300 K and controlled
by weak coupling to a temperature bath[30] with a coupling constant τ =
0.1 ps. Bond lengths were constrained by the SHAKE algorithm.[31] The non-bonded pair list was updated every time
step for pairs within 0.8 nm and every fifth time step for the range
0.8–1.4 nm. Twin-range cutoff radii of 0.8/1.4 nm were used
to compute non-bonded interactions. Long-range electrostatic interactions
were approximated by a reaction-field force, using a dielectric constant
of 54. Simulations were kept at 0.061020 kJ mol–1 nm–3 (1 atm) with a coupling time of τ = 0.5 ps and an isothermal compressibility
of 5.575 × 10–4 (kJ mol–1 nm–3)−1. Bond lengths were constrained
by the SHAKE algorithm.[31]Initial
protein structures H2H3α, H2H3β,
and 1UW3 were
energy minimized using 100 steps of steepest descent. Energy minimized
protein conformations were solvated in a periodic box of 5.2 Å
edge length. The minimum solute–wall distance was set to 0.8
Å. Systems were electrostatically neutralized by replacing water
molecules with sodium ions to compensate the net charge (H2H3, −1; 1UW3, −2) of the
protein at a neutral pH value.The neutralized systems were
energy minimized using 100 steps of
steepest descent, while the protein was harmonically positionally
restrained using a force constant of 2.5 × 104 kJ
mol–1 nm–2. The systems were run
for 5 × 105 steps (1000 ps) of MD while keeping the
solute positionally constrained. Configurations, energies and forces
were saved at intervals of 250 steps (0.5 ps), yielding 2000 conformations per trajectory. The final urea concentrations were curea(H2H3α) = 3.8 M, curea(H2H3β) = 4.5 M, and curea(1UW3) = 4.2 M. Forces between the following groups of atoms
were recorded: protein, ion, water, and urea. Two sets of simulations
were performed, (i) in pure water (ii) and in a urea/water mixture. Since water equilibration around solutes
occurs on the time scale of 10–20 ps, explicit solvent simulations
of 1000 ps are sufficiently long for the pure water simulations to
sample representative force distributions. The urea/water systems
equilibrated after about 5 ns, as shown by the radial distribution
functions of urea and water in Supporting Information Figure S1. Simulations of these systems were run for 10 ns, and
the last 3 ns were used for the analysis. Given that we estimate the
equilibration to occur at approximately 5 ns, we considered 10 ns
as sufficiently long to obtain accurate equilibrium solvent properties.
Data Analysis
The first 300 ps of the trajectories
were excluded from analysis to remove potential equilibration effects.
Atom contacts were attributed to atom pairs within a distance of 0.35
nm. The contact coefficient is the contact ratio, the fraction of
protein–urea contacts, normalized by the mole ratio of urea:[10]where N is the number of
contacts, M is the number of molecules, p:u are protein–urea
interactions, and p:s are protein–(co)solvent (urea and water)
interactions.Normalized force differences Δf̂uw were computed for protein atoms with at least one contact
to urea viawhere ⟨f⟩ denotes
the mean force over a specified interval of the trajectory.Rescaled forces were computed for protein atoms with at least one
contact to urea viaStatistical values were computed over
the last 700 ps of the trajectories
using the statistics functions of the GNU Scientific Library[32] and plotted using the R-project software.[33]Atom exposure was computed with the tools
of the Gromacs simulation
package.[34] Molecular images were generated
with VMD[35] and PyMol.[36]
Results
The ability of PrP to form fibrils is well
recognized, but only
recently has the neurotoxic activity been correlated with the formation
of soluble oligomeric species.[37−39] We have shown that oligomers
from the H2H3 subdomain have very similar physicochemical charateristics
to those of the entire ovine PrP protein. The formation of these oligomeric
species is accompanied by an increase in β-sheet (H2H3β) content.[24] We have studied in detail
this conformational transition in water by molecular dynamics simulations
and have characterized the process of interconversion from an all
α-helical to a β-rich conformer in water. After only 90
ns, a β-sheet seed forms close to the disulfide bridge (nucleating
at residues V183–N184); later the elongation of this sheet
resulted in the refolding of the entire structure to what we call
a double-β-hairpin (first hairpin, V183–T191/I208–M216;
second hairpin, V192–T196/Q199–Q203) (Figure 1A,B). This conformer was very stable in solution
and has been repetitively observed in simulations of oligomer-forming
mutants. We therefore suspect that this is one of the β-rich
species in solution leading to oligomer formation.
Figure 1
Transition from (A) the
α-rich H2H3α to
(B) the β-rich H2H3β conformation. (C) C-terminal
globular domain of ovine PrP (1UW3).
Transition from (A) the
α-rich H2H3α to
(B) the β-rich H2H3β conformation. (C) C-terminal
globular domain of ovine PrP (1UW3).The model systems illustrated in Figure 1 were selected, because we assume that they are
among the species
present in the oligomerization pathway. The comparison of the organization
of the urea mixture around these structures can reveal the tendency
of denaturants to favor the species that is more prone to forming
oligomers.By computing the solvent accessible surface area
(SASA) calculated
by POPS[40] and divided into hydrophilic
and hydrophobic contributions (Figure 2), one
observes the exposure of backbone atoms in the transition from the
α-rich to the β-rich conformer observed in pure water
solution (hydrophobic SASA in yellow, hydrophilic SASA in red). This
is intriguing for the study of solvation forces, because one of the
postulated effects of urea-induced denaturation is strong interactions
with backbone atoms that become exposed. The only region in which
the α-rich conformer exposes more hydrophobic surface is observed
in the stretch 198–204, which corresponds to the loop connecting
the two helices. This loop becomes quite buried in the β-rich
conformer, forming a minimal core between the two aforementioned hairpins.
Figure 2
Solvent-accessible
surface areas (in Å2) of the
prion protein conformers H2H3α (blue) and H2H3β (red). The bars are divided into hydrophobic (light
colors) and hydrophilic (dark colors) contributions.
Solvent-accessible
surface areas (in Å2) of the
prion protein conformers H2H3α (blue) and H2H3β (red). The bars are divided into hydrophobic (light
colors) and hydrophilic (dark colors) contributions.
Solvation Preferences of Protein Atoms
In denaturant-induced
unfolding experiments, the number of denaturant molecules bound to
the protein can be derived from the depression of the transition temperature,
and thermodynamic parameters can broken down into increments per contact.[18] In computational
studies, this type of information is directly accessible if one defines
a contact distance threshold (here 3.5 Å) between protein atoms
and (co)solvent atoms. The relative preference of protein surface
atoms to bind to either the cosolvent (urea) or the solvent (water)
can be expressed by the contact coefficient,[10] which is the fraction of contacts to a given cosolvent normalized
by the mole fraction of the cosolvent in the mixture. A contact coefficient
above 1 indicates a favored contact to the cosolvent and below 1,
a disfavored contact. In Figure 3, the normalized
force difference between the protein–urea contacts and the
protein–water contacts is plotted for several atom types against
the contact coefficient. There is a clear correlation between the
force difference and the contact coefficient. Hydrophobic C atoms
show the strongest preference for urea, and their force difference
is positive; i.e., protein–urea forces are stronger than protein–water
forces for hydrophobic atoms. The polar amideatoms N and O have a
preference for urea contacts, but the interaction forces with urea
are on average lower than those with water. Polar OH and charged O– and N+ atoms show the highest preference
and force differences for water. The normalized force differences
between protein–urea and protein–water interactions
in Figure 3 follow a hydrophobicity scale.
A corresponding trend was found for force field energies of amino
acid analogues.[10]
Figure 3
Normalized mean force
difference f̂uw between protein–urea
and protein–water interactions per atom type
as a function of the contact coefficient.
Atom types are increasingly apolar from low to high contact coefficients.
Values were averaged over the three prion structures H2H3α, H2H3β, and 1UW3. The linear fit through all data points
(solid line) has a regression coefficient of r2 = 0.6, exclusion of the outlier ‘amide N’ yields
a fit (dashed line) with r2 = 0.8.
Normalized mean force
difference f̂uw between protein–urea
and protein–water interactions per atom type
as a function of the contact coefficient.
Atom types are increasingly apolar from low to high contact coefficients.
Values were averaged over the three prion structures H2H3α, H2H3β, and 1UW3. The linear fit through all data points
(solid line) has a regression coefficient of r2 = 0.6, exclusion of the outlier ‘amide N’ yields
a fit (dashed line) with r2 = 0.8.
Comparison between Urea and Water Forces on Protein Atoms
Solvent forces on individual protein atoms are cumulative; i.e.,
the recorded forces originate from interactions with one to several
(co)solvent atoms and molecules. The effect of denaturants is concentration
dependent, because the number of interactions and therefore the cumulative
solvation forces increase with the mole ratio. The concentration effect
can be compensated computationally by a scaling of the solvation forces
with the contact ratio (eq 3). This creates
a useful theoretical scenario, in which solvent and cosolvent form
an equal number of contacts with the protein, and therefore the forces
are represented on a symmetric basis.A detailed picture of
this scenario is obtained from a plot of the force distributions.
The quantile–quantile (Q–Q) plots in Figure 4 provide a graphical summary of the differences
between the force distributions. Identical distributions yield a diagonal
line in Q–Q plots, while increased frequencies in one distribution
‘bend’ the curve toward that dimension. The axes show
the scaled forces fc of protein–urea
versus protein–water interactions of the prion conformers in
urea–water mixtures for seven atom types. It is apparent that
almost all atom types favor urea interactions compared to water interactions,
with the exception of ‘hydroxyl O’ and partially ‘cationic
N’. The atom types ‘carboxylate O’ and ‘amide
N’ establish particularly strong forces with urea, while forces
on ‘amide O’ are moderate. The increased backbone exposure
of H2H3β compared to H2H3α is notable
in the relatively large forces on the backbone atoms ‘amide
N’ and ‘amide O’. The surface interaction potentials
(in units 104 m–1 Å–2) determined by Guinn et al.[20] follow
a similar order: ‘carboxylate O’ −4.0, ‘amide
N’ −3.2, ‘hydroxyl O’ −2.5, ‘aliphatic
C’ −1.1, and ‘cationic N’ 1.8. However,
the potentials ‘aromatic C’ −8.9 and ‘amide
O’ −8.7 were not reproduced by our simulations, possibly
because the exposure of these atoms was significantly higher in the
model compounds of the thermodynamic study than in the protein folds
used here. The mean forces (not scaled), contacts, and contact ratios
are tabulated in Table 1.
Figure 4
Comparison between force
distributions of urea and water around
prion molecules. Interaction forces normalized by the contact ratio
between H2H3 and urea (fcp:u) compared to H2H3 and water (fcp:w). Shown are the force distributions of selected types of atoms as
Q–Q plot. (a) H2H3α, (b) H2H3β, and (c) 1UW3. Data points above the diagonal line indicate a preferred interaction
with urea, below a preferred interaction with water.
Table 1
Interactions between Protein Atoms
and Urea or Water Atoms for Selected Types of Atomsa
atom type
⟨fcp,u⟩
cont.p,u
⟨fcp,w⟩
cont.p,w
H2H3α
aromatic C
27 ± 13
1.6 (0.35)
36 ± 15
3.0 (0.78)
amide O
59 ± 35
2.3 (0.38)
124 ± 50
4.2 (0.82)
carboxylate O
101 ± 65
2.9 (0.25)
329 ± 146
8.4 (0.78)
amide N
176 ± 70
2.0 (0.34)
445 ± 256
4.5 (0.89)
hydroxyl O
149 ± 148
1.9 (0.31)
447 ± 252
5.1 (0.91)
aliphatic C
42 ± 23
1.4 (0.42)
54 ± 31
2.2 (0.81)
cationic N
150 ± 98
1.8 (0.31)
399 ± 147
4.8 (0.79)
H2H3β
aromatic C
26 ± 15
1.5 (0.28)
31 ± 10
3.1 (0.72)
amide O
102 ± 41
2.6 (0.50)
173 ± 75
4.1 (0.81)
carboxylate O
157 ± 85
3.6 (0.35)
303 ± 139
8.3 (0.80)
amide N
427 ± 308
2.1 (0.45)
317 ± 262
2.7 (0.89)
hydroxyl O
253 ± 107
3.4 (0.39)
610 ± 249
5.7 (0.71)
aliphatic C
60 ± 47
1.7 (0.56)
64 ± 39
2.2 (0.81)
cationic N
106 ± 28
1.9 (0.22)
416 ± 79
6.3 (0.80)
1UW3
aromatic C
47 ± 37
2.0 (0.49)
66 ± 46
2.8 (0.85)
amide O
95 ± 56
2.9 (0.48)
160 ± 84
4.2 (0.82)
carboxylate O
155 ± 61
4.0 (0.37)
351 ± 129
8.7 (0.86)
amide N
305 ± 148
2.2 (0.43)
466 ± 313
3.5 (0.89)
hydroxyl O
184 ± 91
2.4 (0.34)
572 ± 331
5.6 (0.83)
aliphatic C
46 ± 32
1.5 (0.48)
64 ± 42
2.2 (0.87)
cationic N
149 ± 56
2.1 (0.40)
291 ± 213
3.9 (0.87)
⟨fc⟩: mean force per contact ± standard deviation
in units kJ mol–1 nm–1. cont.:
mean number of contacts and contact ratio in parentheses. p,u: protein–urea
interactions. p,w: protein–water interactions.
Comparison between force
distributions of urea and water around
prion molecules. Interaction forces normalized by the contact ratio
between H2H3 and urea (fcp:u) compared to H2H3 and water (fcp:w). Shown are the force distributions of selected types of atoms as
Q–Q plot. (a) H2H3α, (b) H2H3β, and (c) 1UW3. Data points above the diagonal line indicate a preferred interaction
with urea, below a preferred interaction with water.⟨fc⟩: mean force per contact ± standard deviation
in units kJ mol–1 nm–1. cont.:
mean number of contacts and contact ratio in parentheses. p,u: protein–urea
interactions. p,w: protein–water interactions.
Solvent Shannon Entropies
Entropic solvation effects
are as important as the enthalpic force contributions discussed in
the previous section. As urea replaces water in the first solvation
shell, water gains entropy, but the reorganization of hydrogen bonds
is an endothermic process. Therefore, the water replacement has been
refuted as a driving force (Gibbs energy change) of denaturation.[19] The solvent entropy in simulated systems can
be approximated by the Shannon entropy H of the solvent.[26] The atom occupancy within cells of a virtual
grid were recorded along the simulation and transformed into an entropy Hgcper grid cell (for details,
see the Methods). The Hgc distributions of the prion conformers in urea–water
mixtures were plotted in the left column of Figure 5. The orange distributions show the values of grid cells close
to the protein surface (0–0.25 Å distance); the blue distributions
show the values of the second solvation shell (0.5–0.75 Å
distance). The differences between the orange and blue distributions
illustrate that the Hgc values are a sensitive
measure of local atom fluctuations, although the resolution of the
grid cells is limited (here 2.0 Å) to provide a sufficiently
diverse cell occupancy, because each additional atom contributes to
the Shannon term. A comparison of the Shannon entropy distributions
of water in urea–water mixtures (Hugc) and pure water
(Hwgc) are given as Q–Q plots in the right column of Figure 5, the color code representing the same distance
ranges as in the left column. The entropy distributions of the bulk
are about the same for protein–urea mixtures and pure water,
with the exception of the lower entropy range of the H2H3β system. Entropic differences arise, as one might expect, in the
solvation shell. H2H3β shows a reduction, compared
to the pure water system, of the number of water molecules in the
urea/water mixture in the entropy range of 0.4–0.7, which indicates
a loss of low entropy water molecules in the solvation shell of the
protein. H2H3β exposes the largest fraction of hydrophobic
surface area among the three prion conformers, and this entropic effect
is most likely due to the replacement of water by urea at the protein
surface. This effect is not detectable in the urea/water mixture systems
of the helical proteins H2H3α and 1UW3. However, all urea/water
systems show an increase, compared to the pure water system, in the
number of water molecules in the entropy range 0.7–1.2, which
is caused by the presence of urea in the solvation shell and the concurring
reduction of solvent mobility.
Figure 5
Shannon entropy distributions of the solvent
around prion conformers
H2H3α (a,b), H2H3β (c,d), and 1UW3 (e,f). Distributions
are divided into grid cells close to (0–0.25 Å, orange)
and far from (0.5–0.75 Å, blue) the protein surface. Left:
Distributions of the Shannon entropy of all grid cells. Right: Q–Q
plots of the Shannon entropy distributions of the solvent environment
of water (Hwgc) and urea (Hcgc) atoms. Histograms
of the Hwgc distributions are plotted over the axes.
Shannon entropy distributions of the solvent
around prion conformers
H2H3α (a,b), H2H3β (c,d), and 1UW3 (e,f). Distributions
are divided into grid cells close to (0–0.25 Å, orange)
and far from (0.5–0.75 Å, blue) the protein surface. Left:
Distributions of the Shannon entropy of all grid cells. Right: Q–Q
plots of the Shannon entropy distributions of the solvent environment
of water (Hwgc) and urea (Hcgc) atoms. Histograms
of the Hwgc distributions are plotted over the axes.This coincides with direct observations of urea
molecules in the
simulation trajectories. Urea does not replace water molecules that
are tightly bound to the protein surface and therefore create a low
entropy environment. Urea replaces water molecules at protein surface
locations where the bound solvent water fluctuates. The water–urea
Shannon entropy maps are shown as isosurfaces in Figure 6 for both H2H3α and H2H3β. These maps highlight the structural and dynamical properties of
the solvent mixture around the molecules. High entropy solvents close
to the protein surface are visible as locations where the contour
map touches the protein. These are sites that are prone to (water)
desolvation by exchange with cosolvents like urea that form stronger
interactions with these sites. For the H2H3 α-rich conformer,
the loop between the two helices shows a high entropy environment,
and urea molecules interact closely with the backbone. For both conformers,
one can observe clustering of urea molecules at exposed amide N atoms
(blue space-filling spheres), in agreement with observations in the
atomic force analysis, where amide N atoms gave rise to the largest
scaled forces in waterurea mixtures.
Figure 6
Shannon entropy of the solvent surrounding
(a) H2H3α and (b) H2H3β illustrated
as isosurface in wire
mesh rendering. Blue spheres indicate amide N atoms of the backbone.
Urea molecules are shown in orange stick rendering.
Shannon entropy of the solvent surrounding
(a) H2H3α and (b) H2H3β illustrated
as isosurface in wire
mesh rendering. Blue spheres indicate amide N atoms of the backbone.
Urea molecules are shown in orange stick rendering.
Discussion
Solvation forces are a sensitive measure
to gauge the solution
properties of protein atoms in urea–water mixtures. The individual
preferences to interact with urea or water follow a hydrophobicity
scale in a similar trend as force field energies of amino acid analogues.[10] The comparison of the scaled forces showed largely
agreement with data of surface interaction potentials.[20] Particularly strong force differences were observed for
‘carboxylate O’ and ‘amide N’ atoms. The
direct comparison of urea and water forces on the protein was performed
on rescaled forces to compensate for the dependence of the solvation
forces on the urea concentration. It has been pointed out by Shellman[2] that “solvent species appear in two forms:
occupying a site and as a solution component.” This has implications
for the relative weights of the contributions to the solvation force
of the (co)solvent components. In the direct comparison of the force
distributions of the protein–urea and protein–water
interactions (Figure 4), the forces were scaled
by the inverse of the contact ratio, but not additionally by the mole
fraction as in the contact coefficient. Therefore the interacting
solvent components were viewed as ‘occupying a site’,
which reflects the fact that the relative concentrations of urea and
water are different close to the protein surface compared to in solution,
as has been shown by radial distribution functions here and in previous
studies.[13,41]The urea molecules close to the protein
surface remained largely
outside the first water solvation shell, except at locations where
the solvent entropy is relatively high. It was noted earlier for the 1UW3 molecule in pure water that surface sites surrounded
by high entropy water molecules are likely to be structural defects
or interaction sites, because of the low energetic cost of desolvation.[26] One of these sites, the loop between the two
helices, is also an apparent interaction site in the H2H3 α-rich
conformer: it is surrounded by high entropy solvent, and urea molecules
bind to the backbone amide N atoms.The use of other cosolvents
like fluorinated derivatives in the
stabilization of folded and unfolded species of PrPc has been explored
in experimental and theoretical approaches.[42−44] Generally,
a stabilization of helical structure is observed in these solvents.
Hexafluoro-2-propanol has been shown to affect the ultrastructure
of PrP amyloid and to decrease the β-sheet content as well as
prion infectivity. In contrast, 1,1,1-trifluoro-2-propanol does not
inactivate prion infectivity but alters the morphology of the rods
and abolishes Congo red binding.Protein simulations in urea–water
mixtures provide a rich
source of information about solvation effects that can be used to
detect potential structural defects and interaction sites.[45] The solvent interaction forces of individual
atom types could be converted to solvation parameters and embedded
in an implicit solvation model for urea–water mixtures. Another,
more challenging, perspective is the combination of the observed surface
site interactions in MD simulations with a thermodynamic site model.[46]
Authors: Jan Heyda; Milan Kožíšek; Lucie Bednárova; Gary Thompson; Jan Konvalinka; Jiří Vondrášek; Pavel Jungwirth Journal: J Phys Chem B Date: 2011-06-02 Impact factor: 2.991
Authors: Emily J Guinn; Laurel M Pegram; Michael W Capp; Michelle N Pollock; M Thomas Record Journal: Proc Natl Acad Sci U S A Date: 2011-09-19 Impact factor: 11.205
Authors: Markus Christen; Philippe H Hünenberger; Dirk Bakowies; Riccardo Baron; Roland Bürgi; Daan P Geerke; Tim N Heinz; Mika A Kastenholz; Vincent Kräutler; Chris Oostenbrink; Christine Peter; Daniel Trzesniak; Wilfred F van Gunsteren Journal: J Comput Chem Date: 2005-12 Impact factor: 3.376